Improving lateral and vertical resolution of seismic images by correcting for wavelet stretch in common-angle migration

Pérez, Gabriel; Marfurt, Kurt J.

doi:10.1190/1.2781619

Cited by 28 publications

(14 citation statements)

References 27 publications

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“…Conventionally, we correct the stretching effects in the binned ADCIG (Roy et al. ; Perez and Marfurt ) as

\hat{m} false(f, θ false) = m false(f, θ false) \frac{W (f)}{W_{θ} false(f false)},

where

\hat{m} false(f, θ false)

are the corrected traces in the binned ADCIG and

W false(f false) / W_{θ} false(f false)

is an angle‐dependent stationary spectral filter applied over all the ADCIG traces. Note that we can ignore the angle‐dependent amplitude‐versus‐angle behaviours of

m (f, θ)

in equation .…”

Section: Methodsmentioning

confidence: 99%

“…Despite simple assumption, Kirchhoff prestack time migration (PSTM) remains appealing because of its robustness and efficiency (Yilmaz ). Even with exciting results, the ADCIG‐based method in Perez and Marfurt () is storage‐demanding and depends on the quality of angle gathers. In this paper, rather than on ADCIGs, we propose a method that imposes the stretch‐correction filter on the data traces.…”

Section: Introductionmentioning

confidence: 99%

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Trace‐imposed stretch correction in Kirchhoff prestack time migration

Liu

Zhang

2018

Geophysical Prospecting

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Kirchhoff prestack time migration, which works trace‐by‐trace, remains appealing to academia and industry due to its robustness and efficiency. However, like the other prestack migration methods, Kirchhoff prestack time migration also suffers from the angle‐dependent stretching effect, which narrows the amplitude spectra of seismic data. This effect gets more severe as the incident angle increases. In this paper, we propose a novel approach, which attaches a prediction shaping filter to the Kirchhoff prestack time migration, to mitigate the stretching effect. Our approach takes advantage on the trace‐by‐trace implementation of the prestack time migration algorithm, without the output of the angle‐domain common‐imaging gather. Also, our method can cascade with Q‐compensation in prestack time migration. We demonstrate our method with both a numerical example and a field data example.

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“…Conventionally, we correct the stretching effects in the binned ADCIG (Roy et al. ; Perez and Marfurt ) as

\hat{m} false(f, θ false) = m false(f, θ false) \frac{W (f)}{W_{θ} false(f false)},

where

\hat{m} false(f, θ false)

are the corrected traces in the binned ADCIG and

W false(f false) / W_{θ} false(f false)

is an angle‐dependent stationary spectral filter applied over all the ADCIG traces. Note that we can ignore the angle‐dependent amplitude‐versus‐angle behaviours of

m (f, θ)

in equation .…”

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Trace‐imposed stretch correction in Kirchhoff prestack time migration

Liu

Zhang

2018

Geophysical Prospecting

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“…For a PP-mode reflection, ␤ is equal to the secant of the incidence angle. Various methods have been proposed to correct for NMO stretch ͑e.g., Perez and Marfurt, 2007;Roy et al, 2008;Bansal et al, 2009͒. However, the crux of all these methods remains the same; that is, prediction of the NMO-stretched wavelet at a particular angle/offset and computation of a shaping filter using the predicted wavelet.…”

Section: V78 Bansal and Matheneymentioning

confidence: 97%

Wavelet distortion correction due to domain conversion

Bansal

Matheney

2010

GEOPHYSICS

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Converted-wave ͑PS͒ data, when converted to PP time, develop time-and location-varying compression of the seismic wavelet due to a variable subsurface ␥ ͑␥ ‫ס‬ Vp / Vs͒. The time-dependent compression distorts the wavelet in a seismic trace. The lack of a consistent seismic wavelet in a domainconverted PS volume can eventually lead to an erroneous joint PP/PS inversion result. Depth-converted seismic data also have wavelet distortion due to velocity-dependent wavelet stretch. A high value of seismic velocity produces more stretch in a seismic wavelet than a low value. Variable wavelet stretch renders the depth data unsuitable for attribute analysis. A filtering scheme is proposed that corrects for distortion in seismic wavelets due to domain conversions ͑PS to PP time and time-to-depth͒ of seismic data in an amplitude-preserving manner. The method uses a Fourier scaling theorem to predict the seismic wavelet in the converted domain and calculates a shaping filter for each time/depth sample that corrects for the distortion in the wavelet. The filter is applied to the domain-converted data using the method of nonstationary filtering. We provide analytical expressions for the squeeze factor ␤ that is used to predict the wavelet in the converted domain. The squeeze factor ␤ for PS to PP time conversion is a function of the subsurface ␥ whereas for PP timeto-depth conversion ␤ is dependent on subsurface P-wave velocity. After filtering, the squeezed wavelets in domainconverted PS data appear to have resulted from a constant subsurface ␥ , which we denote as ␥ rep . Similarly, the filtered depth-converted data appear to have resulted from a constant subsurface P-wave velocity V rep .

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“…Because ray bending has been taken into account in estimation of the take-off angles, this offset-to-angle mapping is more accurate than the existing expressions [7,10,15] (see Appendix A). In 3-D case, the propagation direction is jointly characterized by the incident and azimuth angles.…”

Section: Angle-domain Imaging Driven By Numerical Tablesmentioning

confidence: 99%

“…For example, under straight-ray approximation, the incident angle θ at the reflector satisfies [7,10] :…”

Section: Appendix A: Conventional Relationship For Offset-to-angle Trmentioning

confidence: 99%

Table‐Driven 3‐D Angle‐Domain Imaging Approach for Kirchhoff Prestack Time Migration

Cheng¹,

Wang²,

Zai-tian³

2009

Chinese J of Geophysics

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To overcome some of the shortages of conventional Kirchhoff presatck time migration technique and to provide more powerful supports for amplitude versus incidence‐angle and azimuth (AVA/AVAZ) analysis, we develop a 3‐D angle‐domain imaging approach based on the classical ray tracing equations in laterally homogeneous media. Numerical tables of one‐way travel times and take‐off angles of rays are firstly established by a modified raytracing algorithm. Once the two‐way travel times, weighted factors, average azimuth and local incidence angles at the reflectors are estimated, 3‐D structural images and angle‐domain common‐image gathers are generated through superposition of impulse responses in the process of Kirchhoff migration. Unlike the conventional approach, the implementation of this method has taken ray bending and propagation property of seismic waves in 3‐D lateral invariant media into account. As a result, it helps to extract variations of amplitude and moveout versus azimuth and incidence‐angle more accurately. Synthetic and real data examples demonstrate the advantage and practicability of this technique.

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Improving lateral and vertical resolution of seismic images by correcting for wavelet stretch in common-angle migration

Cited by 28 publications

References 27 publications

Trace‐imposed stretch correction in Kirchhoff prestack time migration

Trace‐imposed stretch correction in Kirchhoff prestack time migration

Wavelet distortion correction due to domain conversion

Table‐Driven 3‐D Angle‐Domain Imaging Approach for Kirchhoff Prestack Time Migration

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